An Introduction to Queueing Theory Modeling and Analysis in Applicat
This introductory textbook is designed for a one-semester course on queueing theory that does not require a course on stochastic processes as a prerequisite. By integrating the necessary background on stochastic processes with the analysis of models, the
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Series Editor N. Balakrishnan McMaster University Hamilton, ON Canada Editorial Advisory Board Zhezhen Jin Columbia University New York, NY, USA Gary C. McDonald NAO Research & Development Center Warren, MI, USA Kazuyuki Suzuki University of Electro Communications Chofu-shi, Tokyo Japan
For further volumes: http://www.springer.com/series/4982
U. Narayan Bhat
An Introduction to Queueing Theory Modeling and Analysis in Applications Second Edition
With guest contributions from: Professor Srinivas R. Chakravarthy, Kettering University Professor Krishna M. Kavi, University of North Texas Professor Andrew Junfang Yu, The University of Tennessee
U. Narayan Bhat Department of Statistical Science Southern Methodist University Dallas Texas USA
ISSN 2364-6241 ISSN 2364-625X (electronic) Statistics for Industry and Technology ISBN 978-0-8176-8420-4 ISBN 978-0-8176-8421-1 (eBook) DOI 10.1007/978-0-8176-8421-1 Library of Congress Control Number: 2015938808 Mathematics Subject Classification (2010): 60J27, 60K25, 60K30, 68M20, 90B22, 90B36, 91B70 Springer Boston, MA Heidelberg New York Dordrecht London c Springer Science+Business Media New York 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer Science+Business Media LLC New York is part of Springer Science+Business Media (www.springer.com)
Dedicated to N. U. Prabhu Professor Emeritus Cornell University USA
Preface to the First Edition There are several books on queueing theory available for students as well as researchers. At the low end of mathematical sophistication, some provide useable formulas in a recipe fashion. At the high end there are research monographs on specific topics and books with emphasis on theoretical analysis. In between there are a few textbooks with one common feature. All of them require an adequate background knowledge on probability and Markov processes that can be acquired normally with a semester-length graduate course. Consequently, most of those who deal with the
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